The fish tanks at the Greene Pet Store each hold the same amount of water. Molly used 17 3/5 water.pitchers of water to fill 16 tanks. How many pitchers of water did she pour into each tank?
17 3/5 ÷ 16
= 88/5 ÷ 16
= 88/80
= 11/10 or 1.1 pitchers
im talking about dividing fractions and mixed numbers
To find out how many pitchers of water Molly poured into each tank, we need to divide the total amount of water she used by the number of tanks she filled.
First, let's convert the mixed number "17 3/5" to an improper fraction, which is easier to work with.
To do that, we multiply the whole number (17) by the denominator (5) and then add the numerator (3). So, 17 * 5 + 3 = 85 + 3 = 88.
Now, we have the improper fraction 88/5.
Next, we divide the improper fraction by the number of tanks (16).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, (88/5) ÷ 16 = (88/5) * (1/16)
Multiplying the numerators (88 * 1) gives us 88, and multiplying the denominators (5 * 16) gives us 80.
Therefore, (88/5) * (1/16) = 88/80.
Now, we simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 8.
Dividing 88 by 8 gives us 11, and dividing 80 by 8 gives us 10.
So, 88/80 simplifies to 11/10.
Thus, Molly poured 11/10 pitchers of water into each tank.